| 1 | /*
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| 2 | * Copyright (c) 2018 CZ.NIC, z.s.p.o.
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| 3 | * All rights reserved.
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| 4 | *
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| 5 | * Redistribution and use in source and binary forms, with or without
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| 6 | * modification, are permitted provided that the following conditions
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| 7 | * are met:
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| 8 | *
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| 9 | * - Redistributions of source code must retain the above copyright
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| 10 | * notice, this list of conditions and the following disclaimer.
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| 11 | * - Redistributions in binary form must reproduce the above copyright
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| 12 | * notice, this list of conditions and the following disclaimer in the
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| 13 | * documentation and/or other materials provided with the distribution.
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| 14 | * - The name of the author may not be used to endorse or promote products
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| 15 | * derived from this software without specific prior written permission.
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| 16 | *
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| 17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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| 18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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| 19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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| 20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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| 22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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| 23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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| 24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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| 25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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| 26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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| 27 | */
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| 28 |
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| 29 | #ifndef _MATH_H
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| 30 | #define _MATH_H
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| 31 |
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| 32 | #include <limits.h>
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| 33 | #include <stddef.h>
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| 34 | #include <float.h>
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| 35 |
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| 36 | #if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE) || defined(_HELENOS_SOURCE)
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| 37 |
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| 38 | #define M_E 2.7182818284590452354
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| 39 | #define M_LOG2E 1.4426950408889634074
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| 40 | #define M_LOG10E 0.43429448190325182765
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| 41 | #define M_LN2 0.69314718055994530942
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| 42 | #define M_LN10 2.30258509299404568402
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| 43 | #define M_PI 3.14159265358979323846
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| 44 | #define M_PI_2 1.57079632679489661923
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| 45 | #define M_PI_4 0.78539816339744830962
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| 46 | #define M_1_PI 0.31830988618379067154
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| 47 | #define M_2_PI 0.63661977236758134308
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| 48 | #define M_2_SQRTPI 1.12837916709551257390
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| 49 | #define M_SQRT2 1.41421356237309504880
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| 50 | #define M_SQRT1_2 0.70710678118654752440
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| 51 |
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| 52 | /* GNU extensions, but GCC emits calls to them as an optimization. */
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| 53 | void sincos(double, double *, double *);
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| 54 | void sincosf(float, float *, float *);
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| 55 | void sincosl(long double, long double *, long double *);
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| 56 |
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| 57 | #endif
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| 58 |
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| 59 | #if FLT_EVAL_METHOD == 0
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| 60 | typedef float float_t;
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| 61 | typedef double double_t;
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| 62 | #elif FLT_EVAL_METHOD == 1
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| 63 | typedef double float_t;
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| 64 | typedef double double_t;
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| 65 | #elif FLT_EVAL_METHOD == 2
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| 66 | typedef long double float_t;
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| 67 | typedef long double double_t;
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| 68 | #else
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| 69 | #error Unknown FLT_EVAL_METHOD value.
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| 70 | #endif
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| 71 |
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| 72 | #define FP_ILOGB0 INT_MIN
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| 73 | #define FP_ILOGBNAN INT_MAX
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| 74 |
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| 75 | #define FP_NAN 0
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| 76 | #define FP_INFINITE 1
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| 77 | #define FP_NORMAL 2
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| 78 | #define FP_SUBNORMAL 3
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| 79 | #define FP_ZERO 4
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| 80 |
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| 81 | int __fpclassify(size_t, ...);
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| 82 | int __signbit(size_t, ...);
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| 83 | int __fcompare(size_t, size_t, ...);
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| 84 |
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| 85 | #define __FCOMPARE_EQUAL 1
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| 86 | #define __FCOMPARE_LESS 2
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| 87 | #define __FCOMPARE_GREATER 4
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| 88 |
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| 89 | #if defined(__GNUC__) || defined(__clang__)
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| 90 |
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| 91 | #define HUGE_VALF __builtin_huge_valf()
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| 92 | #define HUGE_VAL __builtin_huge_val()
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| 93 | #define HUGE_VALL __builtin_huge_vall()
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| 94 | #define INFINITY __builtin_inff()
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| 95 | #define NAN __builtin_nan("")
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| 96 |
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| 97 | #define fpclassify(x) __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, (x))
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| 98 | #define isfinite(x) __builtin_isfinite(x)
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| 99 | #define isinf(x) __builtin_isinf(x)
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| 100 | #define isnan(x) __builtin_isnan(x)
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| 101 | #define isnormal(x) __builtin_isnormal(x)
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| 102 | #define signbit(x) __builtin_signbit(x)
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| 103 |
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| 104 | #define isgreater(x, y) __builtin_isgreater(x, y)
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| 105 | #define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
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| 106 | #define isless(x, y) __builtin_isless(x, y)
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| 107 | #define islessequal(x, y) __builtin_islessequal(x, y)
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| 108 | #define islessgreater(x, y) __builtin_islessgreater(x, y)
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| 109 | #define isunordered(x, y) __builtin_isunordered(x, y)
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| 110 |
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| 111 | #else /* defined(__GNUC__) || defined(__clang__) */
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| 112 |
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| 113 | #define HUGE_VALF (1.0f / 0.0f)
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| 114 | #define HUGE_VAL (1.0 / 0.0)
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| 115 | #define HUGE_VALL (1.0l / 0.0l)
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| 116 | #define INFINITY (1.0f / 0.0f)
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| 117 | #define NAN (0.0 / 0.0)
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| 118 |
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| 119 | #define fpclassify(x) __fpclassify(sizeof(x), (x))
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| 120 | #define isfinite(x) (fpclassify(x) > FP_INFINITE)
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| 121 | #define isinf(x) (fpclassify(x) == FP_INFINITE)
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| 122 | #define isnan(x) (fpclassify(x) == FP_NAN)
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| 123 | #define isnormal(x) (fpclassify(x) == FP_NORMAL)
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| 124 | #define signbit(x) __signbit(sizeof(x), (x))
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| 125 |
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| 126 | #define isgreater(x, y) (!!(__fcompare(sizeof(x), sizeof(y), (x), (y)) & __FCOMPARE_GREATER))
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| 127 | #define isgreaterequal(x, y) (!!(__fcompare(sizeof(x), sizeof(y), (x), (y)) & (__FCOMPARE_GREATER | __FCOMPARE_EQUAL))))
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| 128 | #define isless(x, y) (!!(__fcompare(sizeof(x), sizeof(y), (x), (y)) & __FCOMPARE_LESS))
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| 129 | #define islessequal(x, y) (!!(__fcompare(sizeof(x), sizeof(y), (x), (y)) & (__FCOMPARE_LESS | __FCOMPARE_EQUAL)))
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| 130 | #define islessgreater(x, y) (!!(__fcompare(sizeof(x), sizeof(y), (x), (y)) & (__FCOMPARE_LESS | __FCOMPARE_GREATER)))
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| 131 | #define isunordered(x, y) (!__fcompare(sizeof(x), sizeof(y), (x), (y)))
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| 132 |
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| 133 | #endif /* defined(__GNUC__) || defined(__clang__) */
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| 134 |
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| 135 | #define MATH_ERRNO 1
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| 136 | #define MATH_ERREXCEPT 2
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| 137 |
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| 138 | #define math_errhandling MATH_ERRNO
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| 139 |
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| 140 | double acos(double);
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| 141 | float acosf(float);
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| 142 | long double acosl(long double);
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| 143 | double asin(double);
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| 144 | float asinf(float);
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| 145 | long double asinl(long double);
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| 146 | double atan(double);
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| 147 | float atanf(float);
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| 148 | long double atanl(long double);
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| 149 | double atan2(double, double);
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| 150 | float atan2f(float, float);
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| 151 | long double atan2l(long double, long double);
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| 152 | double cos(double);
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| 153 | float cosf(float);
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| 154 | long double cosl(long double);
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| 155 | double sin(double);
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| 156 | float sinf(float);
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| 157 | long double sinl(long double);
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| 158 | double tan(double);
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| 159 | float tanf(float);
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| 160 | long double tanl(long double);
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| 161 | double acosh(double);
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| 162 | float acoshf(float);
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| 163 | long double acoshl(long double);
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| 164 | double asinh(double);
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| 165 | float asinhf(float);
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| 166 | long double asinhl(long double);
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| 167 | double atanh(double);
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| 168 | float atanhf(float);
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| 169 | long double atanhl(long double);
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| 170 | double cosh(double);
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| 171 | float coshf(float);
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| 172 | long double coshl(long double);
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| 173 | double sinh(double);
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| 174 | float sinhf(float);
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| 175 | long double sinhl(long double);
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| 176 | double tanh(double);
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| 177 | float tanhf(float);
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| 178 | long double tanhl(long double);
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| 179 | double exp(double);
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| 180 | float expf(float);
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| 181 | long double expl(long double);
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| 182 | double exp2(double);
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| 183 | float exp2f(float);
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| 184 | long double exp2l(long double);
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| 185 | double expm1(double);
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| 186 | float expm1f(float);
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| 187 | long double expm1l(long double);
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| 188 | double frexp(double, int *);
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| 189 | float frexpf(float, int *);
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| 190 | long double frexpl(long double, int *);
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| 191 | int ilogb(double);
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| 192 | int ilogbf(float);
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| 193 | int ilogbl(long double);
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| 194 | double ldexp(double, int);
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| 195 | float ldexpf(float, int);
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| 196 | long double ldexpl(long double, int);
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| 197 | double log(double);
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| 198 | float logf(float);
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| 199 | long double logl(long double);
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| 200 | double log10(double);
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| 201 | float log10f(float);
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| 202 | long double log10l(long double);
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| 203 | double log1p(double);
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| 204 | float log1pf(float);
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| 205 | long double log1pl(long double);
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| 206 | double log2(double);
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| 207 | float log2f(float);
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| 208 | long double log2l(long double);
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| 209 | double logb(double);
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| 210 | float logbf(float);
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| 211 | long double logbl(long double);
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| 212 | double modf(double value, double *);
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| 213 | float modff(float value, float *);
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| 214 | long double modfl(long double, long double *);
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| 215 | double scalbn(double, int);
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| 216 | float scalbnf(float, int);
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| 217 | long double scalbnl(long double, int);
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| 218 | double scalbln(double, long int);
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| 219 | float scalblnf(float, long int);
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| 220 | long double scalblnl(long double, long int);
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| 221 | double cbrt(double);
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| 222 | float cbrtf(float);
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| 223 | long double cbrtl(long double);
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| 224 | double fabs(double);
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| 225 | float fabsf(float);
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| 226 | long double fabsl(long double);
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| 227 | double hypot(double, double);
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| 228 | float hypotf(float, float);
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| 229 | long double hypotl(long double, long double);
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| 230 | double pow(double, double);
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| 231 | float powf(float, float);
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| 232 | long double powl(long double, long double);
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| 233 | double sqrt(double);
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| 234 | float sqrtf(float);
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| 235 | long double sqrtl(long double);
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| 236 | double erf(double);
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| 237 | float erff(float);
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| 238 | long double erfl(long double);
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| 239 | double erfc(double);
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| 240 | float erfcf(float);
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| 241 | long double erfcl(long double);
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| 242 | double lgamma(double);
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| 243 | float lgammaf(float);
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| 244 | long double lgammal(long double);
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| 245 | double tgamma(double);
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| 246 | float tgammaf(float);
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| 247 | long double tgammal(long double);
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| 248 | double ceil(double);
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| 249 | float ceilf(float);
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| 250 | long double ceill(long double);
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| 251 | double floor(double);
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| 252 | float floorf(float);
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| 253 | long double floorl(long double);
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| 254 | double nearbyint(double);
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| 255 | float nearbyintf(float);
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| 256 | long double nearbyintl(long double);
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| 257 | double rint(double);
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| 258 | float rintf(float);
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| 259 | long double rintl(long double);
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| 260 | long int lrint(double);
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| 261 | long int lrintf(float);
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| 262 | long int lrintl(long double);
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| 263 | long long int llrint(double);
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| 264 | long long int llrintf(float);
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| 265 | long long int llrintl(long double);
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| 266 | double round(double);
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| 267 | float roundf(float);
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| 268 | long double roundl(long double);
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| 269 | long int lround(double);
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| 270 | long int lroundf(float);
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| 271 | long int lroundl(long double);
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| 272 | long long int llround(double);
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| 273 | long long int llroundf(float);
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| 274 | long long int llroundl(long double);
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| 275 | double trunc(double);
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| 276 | float truncf(float);
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| 277 | long double truncl(long double);
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| 278 | double fmod(double, double);
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| 279 | float fmodf(float, float);
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| 280 | long double fmodl(long double, long double);
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| 281 | double remainder(double, double);
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| 282 | float remainderf(float, float);
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| 283 | long double remainderl(long double, long double);
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| 284 | double remquo(double, double, int *);
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| 285 | float remquof(float, float, int *);
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| 286 | long double remquol(long double, long double, int *);
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| 287 | double copysign(double, double);
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| 288 | float copysignf(float, float);
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| 289 | long double copysignl(long double, long double);
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| 290 | double nan(const char *);
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| 291 | float nanf(const char *);
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| 292 | long double nanl(const char *);
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| 293 | double nextafter(double, double);
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| 294 | float nextafterf(float, float);
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| 295 | long double nextafterl(long double, long double);
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| 296 | double nexttoward(double, long double);
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| 297 | float nexttowardf(float, long double);
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| 298 | long double nexttowardl(long double, long double);
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| 299 | double fdim(double, double);
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| 300 | float fdimf(float, float);
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| 301 | long double fdiml(long double, long double);
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| 302 | double fmax(double, double);
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| 303 | float fmaxf(float, float);
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| 304 | long double fmaxl(long double, long double);
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| 305 | double fmin(double, double);
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| 306 | float fminf(float, float);
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| 307 | long double fminl(long double, long double);
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| 308 | double fma(double, double, double);
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| 309 | float fmaf(float, float, float);
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| 310 | long double fmal(long double, long double, long double);
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| 311 |
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| 312 | #if defined(__GNUC__) || defined(__clang__)
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| 313 |
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| 314 | #define copysign __builtin_copysign
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| 315 | #define copysignf __builtin_copysignf
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| 316 | #define copysignl __builtin_copysignl
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| 317 |
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| 318 | #define nextafter __builtin_nextafter
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| 319 | #define nextafterf __builtin_nextafterf
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| 320 | #define nextafterl __builtin_nextafterl
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| 321 |
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| 322 | #endif
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| 323 |
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| 324 | #endif /* _MATH_H */
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